Central limit theorem for Artin L-functions
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Publication:3179499
DOI10.1142/S1793042117500014zbMath1455.11131arXiv1506.07416OpenAlexW2963269808MaRDI QIDQ3179499
Peter Jaehyun Cho, Henry H. Kim
Publication date: 21 December 2016
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07416
Asymptotic results on arithmetic functions (11N37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Distribution functions associated with additive and positive multiplicative functions (11N60)
Related Items (9)
Universality of Artin \(L\)-functions in conductor aspect ⋮ Moments of logarithmic derivatives of \(L\)-functions ⋮ Extreme residues of Dedekind zeta functions ⋮ Statistics of Hecke eigenvalues for \(\mathrm{GL}(n)\) ⋮ Some notes on distribution of Hecke eigenvalues for Maass cusp forms ⋮ Minimal generators of the ideal class group ⋮ Central limit theorems for sums of quadratic characters, Hecke eigenforms, and elliptic curves ⋮ Low lying zeros of Artin \(L\)-functions ⋮ Analytic ranks of elliptic curves over number fields
Cites Work
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- Secondary terms in counting functions for cubic fields
- The density of discriminants of quintic rings and fields
- Error estimates for the Davenport-Heilbronn theorems
- Quelques applications du théorème de densité de Chebotarev
- Higher composition laws. III: The parametrization of quartic rings
- Low lying zeros of Artin \(L\)-functions
- Higher composition laws. IV: The parametrization of quintic rings
- COUNTING -FIELDS WITH A POWER SAVING ERROR TERM
- n-Level Densities of ArtinL-Functions
- Distribution of Hecke eigenvalues
- Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
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